Rational Curves on Algebraic Varieties

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Springer Science & Business Media, Jun 22, 1999 - Mathematics - 321 pages
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The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on varieties. The main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them. This Ergebnisse volume provides the first systematic introduction to this field of study. The book contains a large number of examples and exercises which serve to illustrate the range of the methods and also lead to many open questions of current research.
 

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Contents

II
5
III
8
IV
20
V
40
VI
62
VII
73
VIII
78
IX
83
XXII
179
XXIII
181
XXIV
192
XXV
198
XXVI
209
XXVII
222
XXVIII
228
XXIX
238

X
90
XI
92
XII
103
XIII
113
XIV
121
XV
134
XVI
148
XVII
154
XVIII
159
XIX
160
XX
167
XXI
171
XXX
239
XXXI
250
XXXII
257
XXXIII
265
XXXIV
272
XXXV
285
XXXVI
286
XXXVII
292
XXXVIII
308
XXXIX
318
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